# Is $x f(x,y)+y g(x,y)$ homogeneous if f and g homogeneous?

If $$f_{1}(x,y)$$ and $$f_{2}(x,y)$$ are two homogeneous polynomials then prove that : $$\frac{f_{1}(x,y)+f_{2}(x,y)}{xf_{1}(x,y)+yf_{2}(x,y)}$$ is homogeneous.